MCQOPTIONS
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MCQOPTIONS
This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Statistical Quality Control knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The rule of multiplication of probability is possible only _____________ |
| A. | When events are independent |
| B. | When events are mutually exclusive |
| C. | When events are Bayesian |
| D. | When events are Empirical |
| Answer» B. When events are mutually exclusive | |
| 2. |
If a card is chosen from a deck of cards, what is the probability that it is either 7 or 9? |
| A. | 4/52 |
| B. | 7/52 |
| C. | 9/52 |
| D. | 8/52 |
| Answer» E. | |
| 3. |
The cumulative distribution function for the lognormal distribution is given by _____a) \(\phi[\frac{ln(a)-\theta}{\omega}]\) b) \(\phi[\frac{ln(a)-\theta}{a}]\) c) \(\phi[\frac{ln(a)-\omega}{\omega}]\) d) \(\phi[\frac{ln( |
| A. | \(\phi[\frac{ln(a)-\theta}{\omega}]\) |
| B. | \(\phi[\frac{ln(a)-\theta}{a}]\) |
| C. | \(\phi[\frac{ln(a)-\omega}{\omega}]\) |
| D. | \(\phi[\frac{ln(a)-\theta}{\theta}]\) |
| Answer» B. \(\phi[\frac{ln(a)-\theta}{a}]\) | |
| 4. |
The exponential distribution is given by _____ |
| A. | f(x)=xeλ |
| B. | f(x)= e-λx |
| C. | f(x)= λe-λx |
| D. | f(x)=ew |
| Answer» D. f(x)=ew | |
| 5. |
For a lognormal random variable, what is the value of mean? |
| A. | \(μ=e^{\theta+\frac{w^2}{2}}\) |
| B. | \(μ=e^{\frac{w^2+\theta}{2}}\) |
| C. | \(μ=e^{w+\frac{\theta^2}{2}}\) |
| D. | \(μ=e^{\theta+w^2}\) |
| Answer» B. \(μ=e^{\frac{w^2+\theta}{2}}\) | |
| 6. |
If a variable x is having its value equal to the exponential function of another variable w, i.e. “x=exp(w)”, and w has normal distribution; the distribution of x is called _______ |
| A. | Normal distribution |
| B. | Exponential distribution |
| C. | Lognormal distribution |
| D. | Gamma distribution |
| Answer» D. Gamma distribution | |
| 7. |
The central limit theorem is true for _______ distribution. |
| A. | Normal distribution |
| B. | Lognormal distribution |
| C. | Exponential distribution |
| D. | Gamma distribution |
| Answer» B. Lognormal distribution | |
| 8. |
Which of these is true for the normal distributions? |
| A. | \(μ_y = a_1 μ_1 + a_2 μ_2 +⋯+ a_n μ_n\) |
| B. | \(μ_y = a_1 μ_1^2 + a_2 μ_2^2 +⋯+ a_n μ_n^2\) |
| C. | \(μ_y^2 = a_1^2 μ_1^2 + a_2^2 μ_2^2 +⋯+ a_n^2 μ_n^2\) |
| D. | \(σ_y^2 = a_1^2 σ_1^2 + a_2^2 σ_2^2 +⋯+ a_n^2 σ_n^2\) |
| Answer» B. \(μ_y = a_1 μ_1^2 + a_2 μ_2^2 +⋯+ a_n μ_n^2\) | |
| 9. |
The probability that the normal random variable x is less than or equal to some value a is said to be the _____ |
| A. | Standard normal distribution |
| B. | Lognormal distribution |
| C. | Exponential distribution |
| D. | Cumulative normal distribution |
| Answer» E. | |
| 10. |
“ϕ(∙)” is said to be cumulative distribution function of _________ |
| A. | Standard binomial distribution |
| B. | Standard normal distribution |
| C. | Standard exponential distribution |
| D. | Standard gamma distribution |
| Answer» C. Standard exponential distribution | |
| 11. |
Which of these equations describe the normal continuous distribution? |
| A. | \(f(x)=\frac{1}{\sigma \sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^2}, -\infty < x < -\infty\) |
| B. | \(f(x)=\frac{1}{\sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^2}, -\infty < x < -\infty\) |
| C. | \(f(x)=\frac{1}{\sigma \sqrt{π}} e^{-0.5(\frac{x-μ}{σ})^x}, -\infty < x < -\infty\) |
| D. | \(f(x)=\frac{1}{\sigma \sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^x}, -\infty < x < -\infty\) |
| Answer» B. \(f(x)=\frac{1}{\sqrt{2π}} e^{-0.5(\frac{x-μ}{σ})^2}, -\infty < x < -\infty\) | |
| 12. |
The rule of multiplication of probability is possible only ____ |
| A. | When events are independent |
| B. | When events are mutually exclusive |
| C. | When events are Bayesian |
| D. | When events are Empirical |
| Answer» B. When events are mutually exclusive | |
| 13. |
Which of these distributions has an appearance of bell-shaped or unimodal curve? |
| A. | Lognormal distributions |
| B. | Normal distribution |
| C. | Exponential distribution |
| D. | Cumulative exponential distributions |
| Answer» C. Exponential distribution | |
| 14. |
Which of these is a continuous distribution? |
| A. | Pascal distribution |
| B. | Lognormal distribution |
| C. | Binomial distribution |
| D. | Hyper geometric distribution |
| Answer» C. Binomial distribution | |
| 15. |
Which of these cannot be shown on the continuous distributions? |
| A. | Length dimension measurement of a box |
| B. | Volume measurement of the box |
| C. | Area measurement of one face of the box |
| D. | Number of defects on the surface of the box |
| Answer» E. | |